Equation Solution

EQUATION 
 

Definition
An equation is a statement that expresses the equality of two mathematical expressions. An equation has an equal sign, a right side expression and a left side expression.

Examples of equations

3x + 3 = 2x + 4 : the left side of the equation is the expression 3x + 3 and the right side is 2x + 4.

2x + 3y = 2 - 2x : equation in two variables x and y.


Solutions of an Equation
If we substitute x by -3 in the equation 2x + 8 = -2x - 4, we obtain

left side: 2x + 8 = 2(-3) + 8 = -6 + 8 = 2

right side: -2x - 4 = -2(-3) - 4 = 6 - 4 = 2

Since a substitution of x = - 3 in the equation gives a true statement 2 = 2, we call -3 the solution or root of the given equation 2x + 8 = -2x - 4. The set of all solutions of an equation is called the solution set of the equation.

To solve an equation is to find all its solutions.
Equivalent Equations
Equations are equivalent if they have exactly the same solutions.

The following equations are equivalent since they have the same solution x = 0.

-3x + 2 = x + 2

-3x = x

x = 0
Properties of Equality
1 - Addition Property of Equality

If we add the same number (or mathematical expression) to both sides of an equation, we do not change the solution set of the equation.

If A = B then A + C = B + C

Example

The equation 2x + 3 = 5

and the equation 2x + 3 + (-3) = 5 + (-3) have the same solution x = 1.

2 - Multiplication Property of Equality

If we mutliply both sides of an equation by the same number (or mathematical expression), we do not change the solution set of the equation.

If A = B then C * A = C * B , with C not equal to zero.

Example

The equation x / 2 = 4

and the equation 2 * (x / 2) = 2 * 4 have the same solution x = 8.

The Alphabet Song

The Alphabet Song is a great way to teach and learn the alphabet, phonics, letter sounds, vocabulary words, and uppercase and lowercase letters. 

This is a phonics abc song for teaching and learning the alphabet and phonics.

Children's Day 2011

In Malaysia, Children's Day is celebrated on the last Saturday of October annually. Primary schoolchildren normally go to school on the Friday before the event to celebrate Children's Day. The schools that are involved would also organise numerous activities for their pupils.
In Kampung Raja Kindergarten, we also organize a lot of activities for the pupils, like singing, dancing, and so on.

                                           Food and Beverage for my school pupils...^^ so interesting...

                                           Malay, Hindu and Cina celebration together...

                                           Yahooooo.......
                      

Origami for Kids to Make

For grownups, some of our fondest memories revolve around making origami as kids. Some of that simpler time can be captured by a little paper folding. Folding origami is also a great way for parents to spend quality time with kids without the need for any high tech gadget.
Folding origami gives parents a chance to sit down with kids and interact while creating something, and all without the noise of video games or tv programming.
Origami can also be taught in school as part of the curriculum.
Transforming a piece of plain paper into something else is an experience both adults and children can truly appreciate.
And best of all, they will remember the joy of folding origami as a kid even when they're adults. I know I do!
The following origami designs are great for kids and beginners. Some are simple enough that young ones can make these with little or no help from grownups while others may require some assistance.
And if they've outgrown these origami for kids, then try something more challenging. There's plenty of more difficult origami on this site as well.

We hope that you enjoy these origami for kids.  Let's start folding!



Origami Truck
Step 1: Start with a 6 in x 6 in (15cm x 15cm) square origami paper, color side down.


Origami Truck Step 2: Fold in half. Crease well and unfold.



Origami Truck Step 3: Now fold in half vertically. Crease well and unfold.



Origami Truck Step 4: Divide the bottom half of the paper into thirds. Fold 1/3 of the paper up. It doesn't have to be precise so just approximate it.




Origami Truck Step 5: Make 2 folds at an angle as indicated by the dotted line below.





Origami Truck Step 6: Now fold up the bottom tips slightly.




Origami Truck Step 7: Flip paper over.


Origami Truck Step 8: Fold down about 2/3 from the middle crease as indicated by the dotte line below. Again, it does not have to be precise so just eyeball it.




Origami Truck Step 9: Now fold the top flap up on the left side.




Origami Truck Step 10: Now fold the entire left side as indicated by the dotted line.

  
and your origami truck is completed!


Have fun decorating it! Ah, there's a reason why we used red origami paper. Here our origami truck has been transformed into a red fire truck!